What is the Greatest Common Factor of 28625 and 28638?

Greatest common factor (GCF) of 28625 and 28638 is 1.

GCF(28625,28638) = 1

We will now calculate the prime factors of 28625 and 28638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28625 and 28638.

How to find the GCF of 28625 and 28638?

We will first find the prime factorization of 28625 and 28638. After we will calculate the factors of 28625 and 28638 and find the biggest common factor number .

Step-1: Prime Factorization of 28625

Prime factors of 28625 are 5, 229. Prime factorization of 28625 in exponential form is:

28625 = 5³ × 229¹

Step-2: Prime Factorization of 28638

Prime factors of 28638 are 2, 3, 37, 43. Prime factorization of 28638 in exponential form is:

28638 = 2¹ × 3² × 37¹ × 43¹

Step-3: Factors of 28625

List of positive integer factors of 28625 that divides 28625 without a remainder.

1, 5, 25, 125, 229, 1145, 5725

Step-4: Factors of 28638

List of positive integer factors of 28638 that divides 28625 without a remainder.

1, 2, 3, 6, 9, 18, 37, 43, 74, 86, 111, 129, 222, 258, 333, 387, 666, 774, 1591, 3182, 4773, 9546, 14319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28625 and 28638. The biggest common factor number is the GCF number.
So the greatest common factor 28625 and 28638 is 1.

Also check out the Least Common Multiple of 28625 and 28638